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Finding the Third Proportional to 659,302 and 1,353,555

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Solution

The third proportional to 659,302 and 1,353,555 is: 2,778,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,302 : 1,353,555 = 1,353,555 : x
  2. Step 2: Convert to fraction form
    659,302/1,353,555 = 1,353,555/x
  3. Step 3: Cross multiply
    659,302x = 1,353,555 × 1,353,555
  4. Step 4: Simplify right side
    659,302x = 1,832,111,138,025
  5. Step 5: Solve for x
    x = 1,832,111,138,025/659,302
  6. Step 6: Final answer
    x = 2,778,864.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.